1 [1] Consider the probability distribution on {1, 2, ...,6} whose probability function {p(x); x = 1, 2, ...,6} is given by p(1) = p(2) = p(3) = ... = p(5) = 5 12 note that the value of p(6) is automatically determined. (a) Find p(6). (b) Find the mean of this distribution. That is, compute the value j = %=1 kp(k). (c) Find the variance of this distribution. That is, compute the value =1(k u)?p(k). k= k=1